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Finding the Fourth Proportional to 975.40, 1,342.78 and 881.86

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Solution

The fourth proportional to 975.40, 1,342.78 and 881.86 is: 1,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.40 : 1,342.78 = 881.86 : x
  2. Step 2: Convert to fraction form
    975.40/1,342.78 = 881.86/x
  3. Step 3: Cross multiply
    975.40x = 1,342.78 × 881.86
  4. Step 4: Simplify right side
    975.40x = 1,184,143.97
  5. Step 5: Solve for x
    x = 1,184,143.97/975.40
  6. Step 6: Final answer
    x = 1,214.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.